First cohomology on weighted semigroup algebras

Details First cohomology on weighted semigroup algebras First cohomology on weighted semigroup algebras

2006-10-06

arxiv.org/abs/math/0610209v1

Mathematics

Functional Analysis

12 pages

Scientific paper

The aim of this work is to generalize Johnson's techniques in order to apply them to establish a bijective correspondence between $S$-derivations and continuous derivations on $M_a(S,\omega),$ where $S$ is a locally compact foundation semigroup with identity $e$, and $\omega$ is a weight function on $S$, and apply it to find a necessary condition for amenability of weighted group algebras.

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